Homomorphisms and derivations in C*-ternary algebras via fixed point method

Kenari, H. M.; Saadati, Reza; Park, Choonkil

doi:10.1186/1687-1847-2012-137

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Homomorphisms and derivations in C*-ternary algebras via fixed point method

Kenari, H. M.;
Saadati, Reza;
Park, Choonkil

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초록

Park (J. Math. Phys. 47: 103512, 2006) proved the Hyers-Ulam stability of homomorphisms in C*-ternary algebras and of derivations on C*-ternary algebras for the following generalized Cauchy-Jensen additive mapping: 2f(Sigma(p)(j=1) X-j/2 + Sigma(d)(j=1)y(j)) = Sigma(p)(j=1) f(x(j)) + 2 Sigma(d)(j=1) f(y(j)). In this paper, we improve and generalize some results concerning this functional equation via the fixed-point method.

키워드

C*-ternary algebra isomorphism; generalized Cauchy-Jensen functional equation; Hyers-Ulam stability; C*-ternary derivation; fixed-point method; APPROXIMATELY ADDITIVE MAPPINGS; ULAM-RASSIAS STABILITY; RINGS

제목: Homomorphisms and derivations in C*-ternary algebras via fixed point method

저자: Kenari, H. M.; Saadati, Reza; Park, Choonkil

DOI: 10.1186/1687-1847-2012-137

발행일: 2012-08

유형: Article

저널명: Advances in Difference Equations

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